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Finding the Fourth Proportional to 12,201.63, 18,302.25 and 3,881.53

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Solution

The fourth proportional to 12,201.63, 18,302.25 and 3,881.53 is: 5,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.63 : 18,302.25 = 3,881.53 : x
  2. Step 2: Convert to fraction form
    12,201.63/18,302.25 = 3,881.53/x
  3. Step 3: Cross multiply
    12,201.63x = 18,302.25 × 3,881.53
  4. Step 4: Simplify right side
    12,201.63x = 71,040,732.44
  5. Step 5: Solve for x
    x = 71,040,732.44/12,201.63
  6. Step 6: Final answer
    x = 5,822.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.